Introduction to Digital Signal and System Analysis

Weiji Wang Introduction to Digital Signal and System Analysis Download free ebooks at bookboon.com 2 Introduction to Digital Signal and System Analysis © 2012 Weiji Wang & Ventus Publishing ApS ISBN 978-87-403-0158-8 Download free ebooks at bookboon.com 3 Introduction to Digital Signal and System Analysis Contents Contents Preface 7 1 Digital Signals and Sampling 8 1.1 Introduction 8 1.2 Signal representation and processing 8 1.3 Analogue-to-digital conversion 11 1.4 Sampling theorem 11 1.5 Quantization in an analogue-to-digital converter 13 2 Basic Types of Digital Signals 16 2.1 Three basic signals 16 2.2 Other basic signals 18 2.3 Signal shifting, flipping and scaling 20 2.4 Periodic signals 21 2.5 Examples of signal operations 21 3 Time-domain Analysis 25 3.1 Linear time-invariant (LTI) systems 25 3.2 Difference equations 26 3.3 Block diagram for LTI systems 28 The next step for top-performing graduates Masters in Management Designed for high-achieving graduates across all disciplines, London Business School’s Masters in Management provides specific and tangible foundations for a successful career in business. This 12-month, full-time programme is a business qualification with impact. In 2010, our MiM employment rate was 95% within 3 months of graduation*; the majority of graduates choosing to work in consulting or financial services. As well as a renowned qualification from a world-class business school, you also gain access to the School’s network of more than 34,000 global alumni – a community that offers support and opportunities throughout your career. For more information visit www.london.edu/mm, email mim@london.edu or give us a call on +44 (0)20 7000 7573. * Figures taken from London Business School’s Masters in Management 2010 employment report Download free ebooks at bookboon.com 4 Introduction to Digital Signal and System Analysis Contents 3.4 Impulse response 29 3.5 Convolution 33 3.6 Graphically demonstrated convolution 38 4 Frequency Domain Analysis 42 4.1 Fourier series for periodic digital signals 42 4.2 Fourier transform for non-periodic signals 46 4.3 Properties of Fourier transform 49 4.4 Frequency response 50 4.5 Frequency correspondence when sampling rate is given 56 5 Z Domain Analysis 60 5.1 z-transform and inverse z-transform 60 5.2 Relationship between z-transform and Fourier transform 62 5.3 Z as time shift operator 62 5.4 Transfer function 63 5.5 Z-plane, poles and zeros 67 5.6 Stability of a system 71 5.7 Evaluation of the Fourier transform in the z-plane 75 5.8 Characteristics of 1st and 2nd order systems 77 6 Discrete Fourier Transform 88 6.1 Definition of discrete Fourier transform 88 Teach with the Best. Learn with the Best. Agilent offers a wide variety of affordable, industry-leading electronic test equipment as well as knowledge-rich, on-line resources —for professors and students. We have 100’s of comprehensive web-based teaching tools, lab experiments, application notes, brochures, DVDs/ CDs, posters, and more. © Agilent Technologies, Inc. 2012 See what Agilent can do for you. www.agilent.com/find/EDUstudents www.agilent.com/find/EDUeducators u.s. 1-800-829-4444 canada: 1-877-894-4414 Download free ebooks at bookboon.com 5 ... - tailieumienphi.vn